The lateral surface area of the cylinder is 21п, and the base diameter is 7. Find the height of the cylinder.
| May 21, 2021 | education
We write down the formula for the area of the lateral surface of the cylinder and express the height from it:
S = 2 * π * r * h → h = S / 2πr.
By condition, the diameter is known, which means that r = d / 2 = 7/2 = 3.5.
Find the height of the cylinder:
h = S / 2πr = 21π / 2 * π * 3.5 = 3.
Answer: cylinder height 3.
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